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Finding the Fourth Proportional to 472,298.24, 708,551.04 and 139,900.16

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Solution

The fourth proportional to 472,298.24, 708,551.04 and 139,900.16 is: 209,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,298.24 : 708,551.04 = 139,900.16 : x
  2. Step 2: Convert to fraction form
    472,298.24/708,551.04 = 139,900.16/x
  3. Step 3: Cross multiply
    472,298.24x = 708,551.04 × 139,900.16
  4. Step 4: Simplify right side
    472,298.24x = 99,126,403,864.17
  5. Step 5: Solve for x
    x = 99,126,403,864.17/472,298.24
  6. Step 6: Final answer
    x = 209,880.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.